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Finding the Fourth Proportional to 203,680.58, 305,516.24 and 119,971.76

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Solution

The fourth proportional to 203,680.58, 305,516.24 and 119,971.76 is: 179,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,680.58 : 305,516.24 = 119,971.76 : x
  2. Step 2: Convert to fraction form
    203,680.58/305,516.24 = 119,971.76/x
  3. Step 3: Cross multiply
    203,680.58x = 305,516.24 × 119,971.76
  4. Step 4: Simplify right side
    203,680.58x = 36,653,318,893.94
  5. Step 5: Solve for x
    x = 36,653,318,893.94/203,680.58
  6. Step 6: Final answer
    x = 179,954.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.